Euler angles of random orientations inconsistent with Crystal Symmetry

[DorianDepriester]

What do you want to do? I want to randomly generate numerous orientations from a given ODF, but it seems that the corresponding Euler angles don't match with the ranges given by the crystal symmetry.

What data do you have? ODF, crystal symmetry

What code do you use?

CS=crystalSymmetry('m-3m');                              % Consider a cubic symmetry,
[phi1_max, Phi_max, phi2_max]=CS.fundamentalRegionEuler  % check the range (seems consistent with https://mtex-toolbox.github.io/EulerAngleSections.html).
u=uniformODF(CS);
oris=u.discreteSample(5000);                             % Then, generate 5000 orientations from uniform distribution.
oris.CS                                                  % Check that the orientations have cubic symmetry as well.
[phi1,Phi,phi2]=Euler(oris);
max([phi1, Phi, phi2])                                   % and show the max value of Euler angles

What result do you get

phi1_max =

   6.283185307179586


Phi_max =

   1.570796326794897


phi2_max =

   1.570796326794897

 
ans = crystalSymmetry (show methods, plot)
 
  symmetry: m-3m   
  elements: 48     
  a, b, c : 1, 1, 1
 

ans =

   6.282688056635115   3.105842775740757   6.282239636330132

What result do you expect Euler angles should lie within the fundamental Euler space.

What MTEX version do you use? 5.8.0